218409467904 has 400 divisors, whose sum is σ = 674988699000. Its totient is φ = 70325895168.

The previous prime is 218409467897. The next prime is 218409467909. The reversal of 218409467904 is 409764904812.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218409467909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1571291067 + ... + 1571291205.

Almost surely, 2^218409467904 is an apocalyptic number.

218409467904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218409467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337494349500).

218409467904 is an abundant number, since it is smaller than the sum of its proper divisors (456579231096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218409467904 is an frugal number, since it uses more digits than its factorization.

218409467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 218409467904 in words is "two hundred eighteen billion, four hundred nine million, four hundred sixty-seven thousand, nine hundred four".